On page 6 of this paper, a conformal mapping from unit disc to unit square is outlined. (Further details on page 19.)

It seems to require ‘incomplete Legendre elliptic integrals of the 1st kind’ and ‘Jacobi elliptic functions’. The only mention of Jacobi I could find in Math.NET was NumericalJacobian in Numerics.Differentiation, which I don’t think is the same thing. Is there anything in Math.NET that would help me trying to convert those F and cn functions to C#? Or, if not exactly convert, maybe just approximate?